Theorems · Theorem · general topology
Metric.PiNatEmbed.continuous_distDenseSeq_inv
∀ {X : Type u_3} [inst : MetricSpace X] [inst_1 : TopologicalSpace.SeparableSpace X],
Continuous Metric.PiNatEmbed.ofPiNat- Defined in
- Mathlib.Topology.MetricSpace.PiNat
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 164 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites26
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
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- Realstatement · cited by 25,697
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- Continuousstatement · cited by 2,592
- MetricSpacestatement and proof · cited by 1,684
- Filter.mapproof · cited by 819
- unitIntervalstatement and proof · cited by 607
- Filter.comapproof · cited by 546
- Function.evalproof · cited by 140
Cited by1
Results whose statement or proof uses this declaration.
- Metric.PiNatEmbed.exists_embedding_to_hilbert_cubeproof · cited by 1